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smc

geometry senior

Problem

The ratio of the perimeter of an equilateral triangle having an altitude equal to the radius of a circle, to the perimeter of an equilateral triangle inscribed in the circle is:
(A)
(B)
(C)
(D)
(E)
Solution
If the radius of the circle is , then the perimeter of the first triangle is , and the perimeter of the second is . So the ratio is .
Final answer
E